Finding the Fourth Proportional to 9,729.90, 13,427.91 and 5,538.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729.90 : 13,427.91 = 5,538.06 : x
2. Step 2: Convert to fraction form
   9,729.90/13,427.91 = 5,538.06/x
3. Step 3: Cross multiply
   9,729.90x = 13,427.91 × 5,538.06
4. Step 4: Simplify right side
   9,729.90x = 74,364,571.25
5. Step 5: Solve for x
   x = 74,364,571.25/9,729.90
6. Step 6: Final answer
   x = 7,642.89